Public Policy Polling said most people who want Kasich to drop out say he's neglecting his gubernatorial duties in the Buckeye state. Also mentioned was the expense of his security detail on the campaign trail -- which is paid, essentially, by Ohio taxpayers.

Other findings in the poll: Ted Cruz and Donald Trump are the least favorable candidates. Cruz is a favorable candidate to only 21 percent of Ohio voters, while Trump has the support of only 35 percent of Ohio voters.

Both democratic candidates, Hillary Clinton and Bernie Sanders, have 45 percent of voters rating them as "favorable," and a nearly identical percent of voters -- 42 percent for Clinton, 41 percent for Bernie -- consider them unfavorable.